TSTP Solution File: SWW478+1 by Leo-III-SAT---1.7.15

%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.15
% Problem  : SWW478+1 : TPTP v8.2.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d SAT

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 18:25:25 EDT 2024

% Result   : Theorem 41.63s 7.55s
% Output   : Refutation 41.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    7 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :    7 (   0 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :  142 (   2   ~;   0   |;   0   &; 140   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   24 (  23 usr;  13 con; 0-3 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(hBOOL_type,type,
    hBOOL: $i > $o ).

thf(member773094996on_val_type,type,
    member773094996on_val: $i > $i > $i ).

thf(hAPP_P1886180715on_val_type,type,
    hAPP_P1886180715on_val: $i > $i > $i ).

thf(hAPP_P1870962205on_val_type,type,
    hAPP_P1870962205on_val: $i > $i > $i ).

thf(produc1441475159on_val_type,type,
    produc1441475159on_val: $i ).

thf(hAPP_P604205461on_val_type,type,
    hAPP_P604205461on_val: $i > $i > $i ).

thf(hAPP_e1659493427on_val_type,type,
    hAPP_e1659493427on_val: $i > $i > $i ).

thf(produc1259058957on_val_type,type,
    produc1259058957on_val: $i ).

thf(ea_type,type,
    ea: $i ).

thf(hAPP_f1727192346on_val_type,type,
    hAPP_f1727192346on_val: $i > $i > $i ).

thf(hAPP_f1849790461on_val_type,type,
    hAPP_f1849790461on_val: $i > $i > $i ).

thf(produc899768717on_val_type,type,
    produc899768717on_val: $i ).

thf(ha_type,type,
    ha: $i ).

thf(fun_up1149430426on_val_type,type,
    fun_up1149430426on_val: $i > $i > $i > $i ).

thf(la_type,type,
    la: $i ).

thf(v_1_type,type,
    v_1: $i ).

thf(some_val_type,type,
    some_val: $i > $i ).

thf(v_type,type,
    v: $i ).

thf(e_a_type,type,
    e_a: $i ).

thf(h_a_type,type,
    h_a: $i ).

thf(l_a_type,type,
    l_a: $i ).

thf(red_type,type,
    red: $i > $i ).

thf(p_type,type,
    p: $i ).

thf(162,axiom,
    hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_InitBlockRed_I1_J) ).

thf(881,plain,
    hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[162]) ).

thf(1,conjecture,
    hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

thf(2,negated_conjecture,
    ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(215,plain,
    ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(2743,plain,
    $false,
    inference(rewrite,[status(thm)],[881,215]) ).

thf(2744,plain,
    $false,
    inference(simp,[status(thm)],[2743]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.14  % Problem  : SWW478+1 : TPTP v8.2.0. Released v5.3.0.
% 0.06/0.14  % Command  : run_Leo-III %s %d SAT
% 0.15/0.36  % Computer : n011.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Wed Jun 19 08:29:25 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 0.94/0.89  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.59/1.08  % [INFO] 	 Parsing done (192ms). 
% 1.59/1.09  % [INFO] 	 Running in sequential loop mode. 
% 2.23/1.32  % [INFO] 	 nitpick registered as external prover. 
% 2.23/1.32  % [INFO] 	 Scanning for conjecture ... 
% 2.66/1.42  % [INFO] 	 Found a conjecture (or negated_conjecture) and 212 axioms. Running axiom selection ... 
% 2.82/1.53  % [INFO] 	 Axiom selection finished. Selected 212 axioms (removed 0 axioms). 
% 3.63/1.69  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 3.63/1.71  % [INFO] 	 Type checking passed. 
% 3.63/1.71  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 41.63/7.54  % [INFO] 	 Killing All external provers ... 
% 41.63/7.54  % Time passed: 6995ms (effective reasoning time: 6448ms)
% 41.63/7.54  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 41.63/7.54  % Axioms used in derivation (1): fact_1_InitBlockRed_I1_J
% 41.63/7.54  % No. of inferences in proof: 7
% 41.63/7.55  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 6995 ms resp. 6448 ms w/o parsing
% 41.64/7.61  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 41.64/7.61  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------